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Finding the Third Proportional to 2,176,717 and 3,432,017

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Solution

The third proportional to 2,176,717 and 3,432,017 is: 5,411,241.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176,717 : 3,432,017 = 3,432,017 : x
  2. Step 2: Convert to fraction form
    2,176,717/3,432,017 = 3,432,017/x
  3. Step 3: Cross multiply
    2,176,717x = 3,432,017 × 3,432,017
  4. Step 4: Simplify right side
    2,176,717x = 11,778,740,688,289
  5. Step 5: Solve for x
    x = 11,778,740,688,289/2,176,717
  6. Step 6: Final answer
    x = 5,411,241.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.